The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
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The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.
Format:Paperback
Language:English
ISBN:3540518606
ISBN13:9783540518600
Release Date:January 1989
Publisher:Springer
Length:146 Pages
Weight:0.50 lbs.
Dimensions:0.3" x 6.1" x 9.2"
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